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Gorenstein injective filtrations over rings with dualizing complexes

Gorenstein injective filtrations over rings with dualizing complexes

来源:Arxiv_logoArxiv
英文摘要

Let $R$ be a commutative noetherian ring. Enochs and Huang [EH] proved that over a Gorenstein ring of Krull dimension $d$, every Gorenstein injective module admits a finite filtration of Gorenstein injective submodules. In this paper, we extend this result to rings admitting a dualizing complex and we provide such filtrations using Auslander categories and section functors.

Reza Sazeedeh

数学

Reza Sazeedeh.Gorenstein injective filtrations over rings with dualizing complexes[EB/OL].(2024-01-15)[2025-06-07].https://arxiv.org/abs/2401.07987.点此复制

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